Geometrical sets with forbidden configurations

DOI10.1017/fms.2023.43zbMath1516.51002arXiv2102.10018OpenAlexW3182869760MaRDI QIDQ6159793

D. Castro-Silva

Publication date: 20 June 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.10018

zbMATH Keywords

forbidden configurations

Mathematics Subject Classification ID

Configuration theorems in linear incidence geometry (51A20)

Cites Work

• A quantitative version of Steinhaus' theorem for compact, connected, rank-one symmetric spaces
• Fourier analysis, linear programming, and densities of distance avoiding sets in \(\mathbb R^n\)
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• Supersaturated graphs and hypergraphs
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• Intersection theorems with geometric consequences
• Recent trends in Euclidean Ramsey theory
• An application of ergodic theory to a problem in geometric Ramsey theory
• The density of sets avoiding distance 1 in Euclidean space
• Nilfactors of \(\mathbb R^m\) and configurations in sets of positive upper density in \(\mathbb R^m\)
• An Introduction to Banach Space Theory
• Spherical Sets Avoiding a Prescribed Set of Angles
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Operators and Harmonic Analysis on the Sphere
• Measurable sets with excluded distances
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